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Summation formulas for Fox-Wright function [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 By means of inversion techniques and several known hypergeometric series identities, summation formulas for Fox-Wright function are explored. They give some new hypergeometric series identities when the parameters are specified.
Chuanan Wei, Lily Li Liu, Dianxuan Gong
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Inversion of the Riemann-Liouville operator and its dual using wavelets [PDF]
Opuscula Mathematica, 2015 We define and study the generalized continuous wavelet transform associated with the Riemann-Liouville operator that we use to express the new inversion formulas of the Riemann-Liouville operator and its dual.
C. Baccar +3 more
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Radon’s inversion formulas [PDF]
Transactions of the American Mathematical Society, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Method for Obtaining Coefficients of Powers of Bivariate Generating Functions
Mathematics, 2021 In this paper, we study methods for obtaining explicit formulas for the coefficients of generating functions. To solve this problem, we consider the methods that are based on using the powers of generating functions.
Dmitry Kruchinin +2 more
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A double inversion formula [PDF]
Pacific Journal of Mathematics, 1980 Let \(G\) be an abelian group and \(\{a_n\}\) and \(\{b_n\}\), \(n\ge 1\), be sequences in \(G\). Let \(p\) be an odd prime and \(\eta_e = \left(\frac{e_1}{p}\right)\), the Legendre symbol, where \(e = p^s e_1\), \(s\ge 0\), \(p\nmid e_1\). Set \(\chi_e^{\pm} = (1 \pm \eta_e)/2\). Define the sequence \(\{c_n\}\) and \(\{d_n\}\), \(n\ge 1\), by \[ c_n =
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Computation method for analysis of sliding faults in power systems [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2021 Short-circuit analysis is conducted based on the nodal impedance matrix, which is the inversion of the nodal admittance matrix. If analysis is conducted for sliding faults, then for each fault location four elements of the nodal admittance matrix are ...
Jan Machowski, Sylwester Robak
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Inversion of Gamow’s formula and inverse scattering
American Journal of Physics, 2006 Gamow’s tunneling formula is inverted and the issue of the uniqueness of the solution is compared with the solution obtained by the method of Gel’fand and Levitan. Some insight is gained into the key differences between classical and quantum inverse scattering, which account for the fact that a potential can be uniquely determined in the latter but ...
Gandhi, Sohang C., Efthimiou, Costas J.
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New inversion formulas for the Krätzel transformation
International Journal of Mathematics and Mathematical Sciences, 2001 We study in distributional sense by means of the kernel method an integral transform introduced by Krätzel. It is well known that the cited transform generalizes to the Laplace and Meijer transformation.
Domingo Israel Cruz-Báez +1 more
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Complimentary information using in the task of averaging operators inversion in function space [PDF]
Компьютерные исследования и моделирование, 2011 The dual task of integral geometry - to define for a given averaging operator the function class where inversion of that operator is possible - is solved. Those classes are defined ambiguously.
A. V. Koganov
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A unified radon inversion formula [PDF]
Journal of Mathematical Physics, 1978 A Radon inversion formula which holds in spaces of even or odd dimension n is obtained for functions which admit to a certain general decomposition. The inversion formula which is one member of a Gegenbauer transform pair is used to generate some interesting definite integrals involving special functions.
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